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Interactive
PHET

Equality Explorer: Two Variables

For Students 6th - 12th Standards
Solving equations in two variables can't be that much harder than solving equations in one variable. Using a balance interactive, scholars solve equations in two variables. They apply inverse operations by adding -x, -y, or -1 as...
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Assessment
Concord Consortium

Three Circles

For Students 9th - 12th Standards
Round and round and round we go. Given a diagram of three circles, two of which share a point with the third circle, learners identify the radius of each circle. Doing so requires setting up and solving a system of equations based on the...
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Assessment
1
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Balanced Assessment

Bagels or Donuts

For Students 9th - 12th Standards
Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.
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Assessment
Curated OER

Hot Under The Collar

For Teachers 7th - 9th Standards
Pupils try to get a collar on temperature with a short assessment item that asks them to compare two different methods in converting Celsius to Fahrenheit. Individuals try to find out when an estimation provides conversions that are...
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Worksheet
Math Worksheets 4 Kids

Equation in Matrix Form

For Students 9th - 12th Standards
This simple, neat, learning exercise, gives learners some systems of linear equations to translate into matrix form. An answer key is included. The matrix of rows and columns are then ready for students to take the next step of solving...
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Lesson Plan
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Illustrative Mathematics

The Intersection of Two Lines

For Teachers 7th - 9th Standards
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
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Lesson Plan
Ohio Department of Education

I Can Do This! Systems of Equations

For Teachers 8th - 10th Standards
Use tables, graphs, and substitution to solve systems of linear equations. An envelope of sample problems is passed around the classroom, and each learner has the opportunity to solve the system in the envelope. This is a great way to...
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Worksheet
Curated OER

Math Sheet #5 Systems Of Equations

For Students 8th - 10th
Solve systems of equations using the substitution or elimination method. Kids can practice by solving each of the five problems on this one-page worksheet.
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Lesson Plan
Curated OER

Linear Programming

For Teachers 10th - 12th Standards
Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming activity, students discover how to graph inequalities and how to determine the algebraic representation of a...
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Lesson Plan
Curated OER

Systems of Linear Equations

For Teachers 9th - 11th
Introduce the inverse matrix method to solve systems of linear equations both algebraically and graphically. Using given data, your class checks their answers with graphing calculators. Handouts are included in this well-thought out lesson.
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PPT
Curated OER

Finding X and Y Intercepts

For Teachers 8th - 10th
How can you solve systems of linear equations? This slideshow introduces learners to the substitution method, the elimination method using addition and subtraction, and the elimination method using multiplication. Guided practice...
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Lesson Plan
Illustrative Mathematics

Two Lines

For Teachers 7th - 9th Standards
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
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Lesson Plan
Curated OER

Solving Systems of Equations

For Teachers 8th - 11th
Learners explore the concept of solving systems of equations with two equations and two unknowns. In this solving systems of equations instructional activity, they work through problems of solving systems by substitution, elimination,...
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Worksheet
Curated OER

Least Squares

For Students 12th - Higher Ed
In this least squares activity, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the slope and...
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Worksheet
Curated OER

Algebra 2 Honors/ 1B Mid-Term Exam

For Students 8th - 10th
In this mid-term exam instructional activity, students solve systems of equations by graphing.  They identify the domain and range of functions.  Students solve inequalities and graph them on a coordinate plane.  Students...
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Worksheet
Curated OER

Solving Systems of Equations by Graphing

For Students 9th - 11th
In this systems of equations activity, students solve systems of equations by graphing.  They identify the intercept of two lines.  This two-page activity contains 12 multi-step problems.  Explanations and examples are...
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Worksheet
Curated OER

Integrated Algebra/Math A Regents Questions: Systems of Quadratic/Linear Equations

For Students 9th - 12th
In this system of equations worksheet, students solve 5 graphing and short answer problems. Students graph quadratic and linear systems of equations to find the solutions to the system.
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Worksheet
Curated OER

Solving Systems of Inequalities by Graphing

For Students 9th - 12th
In this solving systems by graphing worksheet, students solve 12 systems of equations. Students graph each system to find the intersection/solution.
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Worksheet
Curated OER

Solving Linear Systems By Graphing #5

For Students 6th
In this solving linear systems by graphing activity, 6th graders use graphs to solve positive and negative linear equations. Students solve four problems.
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Worksheet
Curated OER

Solving Linear Systems by Graphing #4

For Students 6th
For this problem solving worksheet, 6th graders solve 4 sets of linear system equations involving addition and subtractions by graphing out the answers to each equation.
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Worksheet
Curated OER

Solving Systems of Equations by Graphing

For Students 9th - 11th
In this systems of equations worksheet, students solve each system of equations by graphing on a coordinate plane. Students identify the solution to the equations by the intersection of the two graphs. They also observe that parallel...
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Worksheet
Curated OER

Solving Systems of Equations by Substitution

For Students 9th - 11th
In this systems of equations activity, students solve equations by substitution. Through substitution, students evaluate equations for both x and y. Answers are given as an ordered pair. This two page activity contains 16 problems,...
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Worksheet
Curated OER

Solving Linear Systems by Substitution

For Students 9th
Need a worksheet to reinforce using substitution to solve linear systems of equations? This one contains 4 problems and plenty of work space. Tip: This would be a great quick review, warm up, or pair exercise.
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Lesson Plan
Curated OER

Solving Equations By Systematic Trial

For Teachers 10th - 11th
Studentss solve equations using guess and check. In this algebra lesson plan, students solve linear equation using the systematic trial. They isolate and identify the missing variable using non tranditonal methods.